This repository will detail R code solutions for the 2017 edition of OpenStax's Introduction to Statistics. Huge thanks to the authors, and to Rick Baraniuk for having the vision to place open-source, remixable textbooks online.
- Sampling and Data
- Definitions of Statistics, Probability, and Key Terms
- Data, Sampling, and Variation in Data and Sampling
- Frequency, Frequency Tables, and Levels of Measurement
- Experimental Design and Ethics
- Data Collection Experiment
- Sampling Experiment
- Descriptive Statistics
- Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs
- Histograms, Frequency Polygons, and Time Series Graphs
- Measures of the Location of the Data
- Box Plots
- Measures of the Center of the Data
- Skewness and the Mean, Median, and Mode
- Measures of the Spread of the Data
- Descriptive Statistics
- Probability Topics
- Terminology
- Independent and Mutually Exclusive Events
- Two Basic Rules of Probability
- Contingency Tables
- Tree and Venn Diagrams
- Probability Topics
- Discrete Random Variables
- Probability Distribution Function (PDF) for a Discrete Random Variable
- Mean or Expected Value and Standard Deviation
- Binomial Distribution
- Geometric Distribution
- Hypergeometric Distribution
- Poisson Distribution
- Discrete Distribution (Playing Card Experiment)
- Discrete Distribution (Lucky Dice Experiment)
- Continuous Random Variables
- Continuous Probability Functions
- The Uniform Distribution
- The Exponential Distribution
- Continuous Distribution
- The Normal Distribution
- The Standard Normal Distribution
- Using the Normal Distribution
- Normal Distribution (Lap Times)
- Normal Distribution (Pinkie Length)
- The Central Limit Theorem
- The Central Limit Theorem for Sample Means (Averages)
- The Central Limit Theorem for Sums
- Using the Central Limit Theorem
- Central Limit Theorem (Pocket Change)
- Central Limit Theorem (Cookie Recipes)
- Confidence Intervals
- A Single Population Mean using the Normal Distribution
- A Single Population Mean using the Student t Distribution
- A Population Proportion
- Confidence Interval (Home Costs)
- Confidence Interval (Place of Birth)
- Confidence Interval (Women's Heights)
- Hypothesis Testing with One Sample
- Null and Alternative Hypotheses
- Outcomes and the Type I and Type II Errors
- Distribution Needed for Hypothesis Testing
- Rare Events, the Sample, Decision and Conclusion
- Additional Information and Full Hypothesis Test Examples
- Hypothesis Testing of a Single Mean and Single Proportion
- Hypothesis Testing with Two Samples
- Two Population Means with Unknown Standard Deviations
- Two Population Means with Known Standard Deviations
- Comparing Two Independent Population Proportions
- Matched or Paired Samples
- Hypothesis Testing for Two Means and Two Proportions
- The Chi-Square Distribution
- Facts About the Chi-Square Distribution
- Goodness-of-Fit Test
- Test of Independence
- Test for Homogeneity
- Comparison of the Chi-Square Tests
- Test of a Single Variance
- Lab 1: Chi-Square Goodness-of-Fit
- Lab 2: Chi-Square Test of Indepence
- Linear Regression and Correlation
- Linear Equations
- Scatter Plots
- The Regression Equation
- Testing the Significance of the Correlation Coefficient
- Prediction
- Outliers
- Regression (Distance from School)
- Regression (Textbook Cost)
- Regression (Fuel Efficiency)
- F Distribution and One-Way ANOVA
- One-Way ANOVA
- The F Distribution and the F-Ratio
- Facts About the F Distribution
- Test of Two Variances
- Lab: One-Way ANOVA
- Review Exercises
- Practice Tests (1-4) and Final Exams